A 0.870 g sample of a monoprotic acid is dissolved in water and titrated with 0.300 M KOH.
What is the molar mass of the acid if 23.0 mL of the KOH solution is required to neutralize the sample?

Respuesta :

Answer: The molar mass of monoprotic acid is 126.1 g/mol

Explanation:

To calculate the molarity of solution, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}[/tex]

Molarity of KOH solution = 0.300 M

Volume of solution = 23.00 mL

Putting values in above equation, we get:

[tex]0.300M=\frac{\text{Moles of KOH}\times 1000}{23.00}\\\\\text{Moles of KOH}=\frac{0.300\times 23.00}{1000}=0.0069moles[/tex]

The chemical equation for the reaction of monoprotic acid and KOH follows:

[tex]HA+KOH\rightarrow KA+H_2O[/tex]

By Stoichiometry of the reaction:

1 mole of KOH reacts with 1 mole of HA

So, 0.0069 moles of KOH will react with = [tex]\frac{1}{1}\times 0.0069=0.0069[/tex] moles of HA

To calculate the molar mass for given number of moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Given mass of HA = 0.870 g

Moles of monoprotic acid = 0.0069 mol

Putting values in above equation, we get:

[tex]0.0069mol=\frac{0.870g}{\text{Molar mass of monoprotic acid}}\\\\\text{Molar mass of monoprotic acid}=\frac{0.870g}{0.0069mol}=126.1g/mol[/tex]

Hence, the molar mass of monoprotic acid is 126.1 g/mol